Exercise 1: A bottling company uses a filling machine to fill plastic bottles with soda. The bottles are supposed to contain 300 mL of soda each. It can be shown that the contents vary according to a normal distribution with a mean of 303 mL and a SD of 3 mL a) What is the probability that an individual bottle contains less than 300 mL? b) Now take a random sample of 10 bottles. What is the mean and SD we can expect from the 10 bottles' average?0 c) What is the probability that the sample mean volume of the 10 bottles is less than 300 mL